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Finding the Fourth Proportional to 483,200.40, 724,109.40 and 355,846.80

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Solution

The fourth proportional to 483,200.40, 724,109.40 and 355,846.80 is: 533,261.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,200.40 : 724,109.40 = 355,846.80 : x
  2. Step 2: Convert to fraction form
    483,200.40/724,109.40 = 355,846.80/x
  3. Step 3: Cross multiply
    483,200.40x = 724,109.40 × 355,846.80
  4. Step 4: Simplify right side
    483,200.40x = 257,672,012,839.92
  5. Step 5: Solve for x
    x = 257,672,012,839.92/483,200.40
  6. Step 6: Final answer
    x = 533,261.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.